A few days ago
Anonymous

Math A2/B1 help?

how would i set this problem up?

“Seperate 150 into two parts such that 4 times the larger exceeds 5 times the smallest by 60.”

Top 1 Answers
A few days ago
Kia

Favorite Answer

Let x be the larger part and y the smaller part. We have

x + y = 150

4x = 5y + 60

Use the first equation and solve for x

x = 150 – y

Now plug x into the second equation and solve for y

4x = 5y + 60

4(150 – y) = 5y + 60

600 – 4y = 5y + 60

600 – 60 = 5y + 4y

540 = 9y

y = 540 / 9

y = 60

Now that you have y, find x from the first equation

x = 150 – y

x = 150 – 60

x = 90

I hope this helped

Kia

1